Results 51 to 60 of about 1,331 (139)
An Algebraic Approach to the Δh-Frobenius–Genocchi–Appell Polynomials
Mathematics, 2023 In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani +6 more
doaj +1 more source
Some identities on Bernstein polynomials associated with q-Euler polynomials [PDF]
, 2011 In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid +3 more
core +4 more sources
Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials. These polynomials possess beneficial properties exhibited in functional and differential equations, recurring and explicit relations as well as symmetric identities, and summation ...
Shahid Ahmad Wani +3 more
openaire +2 more sources
On the new type of degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
doaj +1 more source
Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
doaj +1 more source
On Apostol-Type Hermite Degenerated Polynomials
Mathematics, 2023 This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Clemente Cesarano +4 more
doaj +1 more source
An elliptic extension of the Genocchi polynomials
Filomat, 2016 We define an elliptic extension of the Genocchi polynomials and obtain the sums of products for the elliptic Genocchi polynomials. The formulas of sums of products for the Genocchi polynomials are also derived.
Ji-Ke Ge, Qiu-Ming Luo
openaire +2 more sources
On the Barnes' Type Related to Multiple Genocchi Polynomials on
Abstract and Applied Analysis, 2012 Using fermionic -adic invariant integral on , we construct the Barnes' type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Genocchi numbers and polynomials.
J. Y. Kang +3 more
doaj +1 more source
On some sequences of polynomials generating the Genocchi numbers [PDF]
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020 Sequences of Genocchi numbers of the first and second kind are considered. For these numbers, an approach based on their representation using sequences of polynomials is developed. Based on this approach, for these numbers some identities generalizing the known identities are constructed.
openaire +2 more sources
Analytic Continuation of weighted q-Genocchi numbers and polynomials
, 2012 In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet +2 more
core +1 more source